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Finding the Fourth Proportional to 2,298.43, 3,446.62 and 654.60

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Solution

The fourth proportional to 2,298.43, 3,446.62 and 654.60 is: 981.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.43 : 3,446.62 = 654.60 : x
  2. Step 2: Convert to fraction form
    2,298.43/3,446.62 = 654.60/x
  3. Step 3: Cross multiply
    2,298.43x = 3,446.62 × 654.60
  4. Step 4: Simplify right side
    2,298.43x = 2,256,154.18
  5. Step 5: Solve for x
    x = 2,256,154.18/2,298.43
  6. Step 6: Final answer
    x = 981.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.